a: =>x+7/4=6:2/3=9

=>x=29/4

b: =>x:5/3=7/5

=>x=7/5*5/3=7/3

c:=>x+1/6=5/3

=>x=10/6-1/6=3/2

d: =>x+4/5=4/5+3/7+3/5

=>x=3/7+3/5=36/35

e: =>x/35=4/5-5/7=3/35

=>x=3

f: =>13/28+x=1/2

=>x=1/28

g: =>1/3-x=1/9

=>x=2/9

con bà mày

a) (x - 7) + 5 = 16

=>   x - 7 = 11

=>  x  =  18

b) 4 : x - 34 = 6

=>  4 : x = 40

=>  x  =  \(\frac{1}{10}\)

c) 120 : ( x - 1 ) + 3 = 23

=>  120 : ( x - 1 ) = 20

=>  x - 1 = 6

=>  x  = 7

d) 170 - ( x-7) : 5 = 20

=>  ( x - 7 ) : 5 = 150

=>  x - 7  = 750

=>   x   =  757

e) x + 12 + 2 .x + 3 = 4.x + 3

=>  3x + 17  = 4x  + 3

=>  x  = 15 

\(a,x-7=11\)

\(x=18\)

\(b,x-36=\frac{2}{3}\)

\(x=\frac{110}{3}\)

\(c,120:\left(x-1\right)=20\)

\(x-1=6\)

\(x=7\)

\(d,\left(x-7\right):5=150\)

\(x-7=10\)

\(x=17\)

\(d,x+12+2.x+3-4.x-3=0\)

\(x.\left(1+2-4\right)+3-3+12=0\)

\(x.\left(-1\right)+12=0\)

\(x.\left(-1\right)=-12\)

\(x=12\)

\(\left|x+2\right|=0\)

\(\Rightarrow x+2=0\)

\(\Rightarrow x=0-2\)

\(\Rightarrow x=-2\)

\(\left|x-5\right|=\left|-7\right|\)

\(\Rightarrow\left|x-5\right|=7\)

\(\Rightarrow\hept{\begin{cases}x-5=-7\\x-5=7\end{cases}}\Leftrightarrow\hept{\begin{cases}x=-7+5\\x=7+5\end{cases}}\Leftrightarrow\hept{\begin{cases}x=-2\\x=12\end{cases}}\)

\(\Rightarrow x\in\left\{-2;12\right\}\)

a. (5.x + 3) : 4 – 16 = 6

(5.x + 3) : 4  = 22 

(5.x + 3)  = 88 

5.x  = 85

x = 13

b. 7(23 – 3.x) : 2 – 35 = 35

 7(23 – 3.x) : 2 = 70 

7(23 – 3.x) = 35 

 7 . 3.x = 12

7.x = 4 

x = 4/7 

a.) (5.x + 3) : 4 – 16 = 6

=> (5.x + 3) : 4  = 22

=> 5.x + 3  = 88

=>   5x  = 85 

=>   x  =  17

b) 7(23 – 3.x) : 2 – 35 = 35

=>  7(23 – 3.x) : 2  = 70

=>7(23 – 3.x)  = 140

=>   23 – 3.x  =  20

=>    3x    =  3 

=>   x  =  1 

1/4+1/3:(2x-1)=-5

-->1/3:(2x-1)=-5-1/4

-->1/3:(2x-1)=-21/4

-->2x-1        =1/3:-21/4

-->2x-1        =-4/63

-->2x           =-4/63+1

-->2x           =59/63

--x               =59/126

b7/9:(2+3/4x)+5/9=23/27

-->7/9:(2+3/4x)     =23/27-5/9

-->7/9:(2+3/4x)     =8/27

-->2+3/4x             =7/9:8/27

-->2+3/4x             =21/8

-->3/4x                 =21/8-2

-->3/4x                 =5/8

-->x                     =5/8:3/4

-->x                     =5/6

c|2x-1/3|+5/6=1

-->|2x-1/3|    =1-5/6

-->|2x-1/3|    =1/6

-->\(\orbr{\begin{cases}2x-\frac{1}{3}=\frac{1}{6}\\2x-\frac{1}{3}=-\frac{1}{6}\end{cases}}\)

-->\(\orbr{\begin{cases}2x=\frac{1}{6}+\frac{1}{3}\\2x=-\frac{1}{6}+\frac{1}{3}\end{cases}}\)

-->\(\orbr{\begin{cases}2x=\frac{1}{2}\\2x=\frac{1}{6}\end{cases}}\)

-->\(\orbr{\begin{cases}x=\frac{1}{2}:2\\x=\frac{1}{6}:2\end{cases}}\)

-->\(\orbr{\begin{cases}x=\frac{1}{4}\\x=\frac{1}{12}\end{cases}}\)

2: \(=\dfrac{-2}{75}+\dfrac{5}{39}=\dfrac{33}{325}\)

3: \(=\dfrac{6}{11}\left(\dfrac{4}{9}+\dfrac{5}{9}\right)=\dfrac{6}{11}\)

4: \(=\dfrac{7}{19}\left(\dfrac{5}{13}+\dfrac{8}{13}-1\right)=-2\cdot\dfrac{7}{19}=-\dfrac{14}{19}\)

5: \(=\dfrac{2}{7}\left(\dfrac{4}{23}-\dfrac{27}{23}+1\right)=0\)

6: \(=\dfrac{3}{8}\left(\dfrac{3}{7}+\dfrac{4}{7}\right)+\dfrac{11}{8}=\dfrac{3}{8}+\dfrac{11}{8}=\dfrac{14}{8}=\dfrac{7}{4}\)

x-7=-5

=>x=-5+7=2

x+2=0

=>x=0-2=-2

\(\left(3x-2^4\right)\cdot7^3=2\cdot7^4\)

=>\(3x-16=\frac{2\cdot7^4}{7^3}=2\cdot7=14\)

=>3x=16+14=30

=>x=30/3=10

|x-5|=|-7|

=>x-5=7 hoặc x-5=-7

=>x=12 hoặc x=-2

x-[42+(-28)]=-8

=>x-14=-8

=>x=-8+14

=>x=6

128-3(x+4)=23

=>3(x+4)=128-23=105

=>x+4=35

=>x=35-4=31

4-(7-x)=x-(13-4)

=>4-7+x=x-9

=>x-3=x-9

=>-3=-9(vô lý)

=>x∈∅

Bài 2:

S1=1+2+...+999

\(=\frac{999\left(999+1\right)}{2}=999\cdot\frac{1000}{2}\)

\(=999\cdot500=499500\)

S1=10+12+...+2010

Số số hạng của dãy là:

(2010-10):2+1=2000:2+1=1001(số)

Tổng của dãy số là:

\(S_1=\left(2010+10\right)\cdot\frac{1001}{2}=2020\cdot\frac{1001}{2}=1001\cdot1010=1011010\)